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2538935256 = 23311213109617
BaseRepresentation
bin1001011101010101…
…0001001111011000
320112221110021102010
42113111101033120
520144431412011
61055534105520
7116626410414
oct22725211730
96487407363
102538935256
111093187700
125aa34b2a0
13316012470
141a12a7d44
15ecd6c1a6
hex975513d8

2538935256 has 192 divisors, whose sum is σ = 7594725600. Its totient is φ = 702535680.

The previous prime is 2538935207. The next prime is 2538935257. The reversal of 2538935256 is 6525398352.

2538935256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538935257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4114660 + ... + 4115276.

Almost surely, 22538935256 is an apocalyptic number.

2538935256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2538935256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797362800).

2538935256 is an abundant number, since it is smaller than the sum of its proper divisors (5055790344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2538935256 is a wasteful number, since it uses less digits than its factorization.

2538935256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 755 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 48.

The square root of 2538935256 is about 50387.8482969853. The cubic root of 2538935256 is about 1364.2183139981.

The spelling of 2538935256 in words is "two billion, five hundred thirty-eight million, nine hundred thirty-five thousand, two hundred fifty-six".